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Sunday, August 04, 2013

 

ii

  i=0+i=cos(π2)+isin(π2)=eiπ2
Thanks to Euler! Therefore,
  ii=(eiπ2)i=ei2π2=eπ2=1eπ20.2078796
Furthermore, there is apparently more than one solution, as ii can be derived with multiples of 2π in the periodic functions. The solution set can therefore be represented by a sequence, with
  an=e(π2+2nπ)
where n is any integer.

For example, for n=1,0,1,, etc. an=111.3178,0.2078796,0.0003882032,, etc.


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